000 04125nam a22004575i 4500
001 978-1-4020-5796-0
003 DE-He213
005 20260521092128.0
007 cr nn 008mamaa
008 100301s2007 ne | s |||| 0|eng d
020 _a9781402057960
020 _a99781402057960
024 7 _a10.1007/978-1-4020-5796-0
_2doi
082 0 4 _a539.72
_223
100 1 _aDong, Shi-Hai.
_eauthor.
245 1 0 _aFactorization Method in Quantum Mechanics
_h[electronic resource] /
_cby Shi-Hai Dong.
264 1 _aDordrecht :
_bSpringer Netherlands,
_c2007.
300 _aXIX, 297 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aFundamental Theories of Physics ;
_v150
505 0 _aMETHOD -- THEORY -- LIE ALGEBRAS SU(2) AND SU(1, 1) -- APPLICATIONS IN NON-RELATIVISTIC QUANTUM MECHANICS -- HARMONIC OSCILLATOR -- INFINITELY DEEP SQUARE-WELL POTENTIAL -- MORSE POTENTIAL -- PÖSCHL-TELLER POTENTIAL -- PSEUDOHARMONIC OSCILLATOR -- ALGEBRAIC APPROACH TO AN ELECTRON IN A UNIFORM MAGNETIC FIELD -- RING-SHAPED NON-SPHERICAL OSCILLATOR -- GENERALIZED LAGUERRE FUNCTIONS -- NEW NONCENTRAL RING-SHAPED POTENTIAL -- PÖSCHL-TELLER LIKE POTENTIAL -- POSITION-DEPENDENT MASS SCHRÖDINGER EQUATION FOR A SINGULAR OSCILLATOR -- APPLICATIONS IN RELATIVISTIC QUANTUM MECHANICS -- SUSYQM AND SWKB APPROACH TO THE DIRAC EQUATION WITH A COULOMB POTENTIAL IN 2+1 DIMENSIONS -- REALIZATION OF DYNAMIC GROUP FOR THE DIRAC HYDROGEN-LIKE ATOM IN 2+1 DIMENSIONS -- ALGEBRAIC APPROACH TO KLEIN-GORDON EQUATION WITH THE HYDROGEN-LIKE ATOM IN 2+1 DIMENSIONS -- SUSYQM AND SWKB APPROACHES TO RELATIVISTIC DIRAC AND KLEIN-GORDON EQUATIONS WITH HYPERBOLIC POTENTIAL -- QUANTUM CONTROL -- CONTROLLABILITY OF QUANTUM SYSTEMS FOR THE MORSE AND PT POTENTIALS WITH DYNAMIC GROUP SU(2) -- CONTROLLABILITY OF QUANTUM SYSTEM FOR THE PT-LIKE POTENTIAL WITH DYNAMIC GROUP SU(1, 1) -- CONCLUSIONS AND OUTLOOKS -- CONCLUSIONS AND OUTLOOKS.
520 _aThis Work introduces the factorization method in quantum mechanics at an advanced level with an aim to put mathematical and physical concepts and techniques like the factorization method, Lie algebras, matrix elements and quantum control at the Reader's disposal. For this purpose a comprehensive description is provided of the factorization method and its wide applications in quantum mechanics which complements the traditional coverage found in the existing quantum mechanics textbooks. Related to this classic method are the supersymmetric quantum mechanics, shape invariant potentials and group theoretical approaches. It is no exaggeration to say that this method has become the milestone of these approaches. In fact the Author's driving force has been his desire to provide a comprehensive review volume that includes some new and significant results about the factorization method in quantum mechanics since the literature is inundated with scattered articles in this field, and to pave the Reader's way into this territory as rapidly as possible. The result: clear and understandable derivations with the necessary mathematical steps included so that the intelligent reader should be able to follow the text with relative ease, in particular when mathematically difficult material is presented. Audience: Researchers and students of physics, mathematics, chemistry and electrical engineering.
650 0 _aPHYSICS.
650 0 _aQUANTUM THEORY.
650 0 _aMATHEMATICAL PHYSICS.
650 1 4 _aPHYSICS.
650 2 4 _aELEMENTARY PARTICLES, QUANTUM FIELD THEORY.
650 2 4 _aQUANTUM PHYSICS.
650 2 4 _aMATHEMATICAL METHODS IN PHYSICS.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781402057953
830 0 _aFundamental Theories of Physics ;
_v150
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4020-5796-0
_zVer el texto completo en las instalaciones del CICY
912 _aZDB-2-PHA
942 _2ddc
_cER
999 _c37372
_d37372